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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 360 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 24 and 20.
  2. 2.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  3. 3.Find the LCM of 2, 11 and 8.
  4. 4.Find the LCM of 6, 10 and 2.
  5. 5.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  6. 6.Find the LCM of 16 and 6.
  7. 7.Find the LCM of 15 and 25.
  8. 8.Find the LCM of 14 and 6.
  9. 9.Find the LCM of 4, 2 and 7.
  10. 10.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  11. 11.Find the LCM of 16 and 14.
  12. 12.Find the LCM of 6 and 21.
  13. 13.Find the LCM of 3, 5 and 9.
  14. 14.Find the HCF of 28 and 20.
  15. 15.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  16. 16.Find the LCM of 11, 9 and 3.
  17. 17.Find the HCF of 42 and 18.
  18. 18.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  19. 19.Find the HCF of 28 and 16.
  20. 20.Find the HCF of 4 and 18.
  21. 21.Find the LCM of 8 and 3.
  22. 22.Find the LCM of 36 and 28.
  23. 23.Find the LCM of 5 and 6.
  24. 24.Find the LCM of 25 and 30.
  25. 25.Find the LCM of 15, 8 and 5.
  26. 26.Find the LCM of 30 and 24.
  27. 27.Find the LCM of 15, 3 and 12.
  28. 28.Find the LCM of 6 and 8.
  29. 29.Find the HCF of 80 and 70.
  30. 30.Find the LCM of 4 and 5.
  31. 31.Find the LCM of 6, 2 and 8.
  32. 32.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  35. 35.Find the LCM of 35 and 10.
  36. 36.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  37. 37.Find the LCM of 4 and 3.
  38. 38.Find the LCM of 5 and 4.
  39. 39.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  40. 40.Find the LCM of 15, 7 and 6.

Answer key

  1. 120
  2. 36
  3. 88
  4. 30
  5. 36
  6. 48
  7. 75
  8. 42
  9. 28
  10. 16
  11. 112
  12. 42
  13. 45
  14. 4
  15. 15
  16. 99
  17. 6
  18. 12
  19. 4
  20. 2
  21. 24
  22. 252
  23. 30
  24. 150
  25. 120
  26. 120
  27. 60
  28. 24
  29. 10
  30. 20
  31. 24
  32. 45
  33. 36
  34. 9
  35. 70
  36. 4
  37. 12
  38. 20
  39. 6
  40. 210

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